Solitary waves for the KleinGordonMaxwell system with critical exponent

Abstract In this paper we study the existence of solutions for nonlinear Klein–Gordon–Maxwell equations coupled with Maxwell’s equations when the nonlinearity exhibits critical growth. We improve some previous existence results in Azzollini et al. (2009) [5] , Carriao et al. (2009) [4] and Cassani (2004) [3] .

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